WASHINGTON — Senate proponents of a bill empowering Congress to review and potentially reject any Iran nuclear deal must first win a battle with colleagues determined to change the legislation in ways that could sink it.

“Anybody who monkeys with this bill is going to run into a buzz saw,” Republican Sen. Lindsey Graham of South Carolina warned ahead of this week’s debate.

The high-profile debate comes as negotiators from the U.S. and five other nations are rushing to finalize, by the end of June, an agreement requiring Iran to curb its nuclear program in exchange for relief from sanctions.

Secretary of State John Kerry and his Iranian counterpart plan to meet Monday for the first time since laying out the deal’s framework this month.

The State Department said Kerry and Iran’s Foreign Minister Mohammad Javad Zarif would meet at the United Nations on the sidelines of a conference on the nuclear non-proliferation treaty.

Another member of Congress trying to discourage changes in the bill was Democratic Sen. Bob Menendez of New Jersey, who urged senators to stick with the plan as it emerged from the Senate Foreign Relations Committee. The bill, approved 19-0 by the Senate committee, has 62 co-sponsors from both parties.

Some lawmakers, however, want changes.

Republican Sen. Ted Cruz of Texas has an amendment with Sen. Pat Toomey, R-Pa., that would require Congress to sign off on any final nuclear deal, not just disapprove of it. An amendment from Sen. Ron Johnson, R-Wis., would make any deal a treaty, thus needing to be ratified by two-thirds of the Senate.

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